An insensitive, insincere apology only given out of guilt. The motives for the apology are not to actually make the one being given the apology feel better, but instead to make the one apologizing feel better. In other words, an apology given by a selfish, narcissistic, dickhead whose only goal is to clear their own conscience.

My brother stole money out of my purse and after confronting him I received a guiltology.